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GATE 2018 Exam: Engineering Mathematics Quiz 30
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Question 1
The matrix A is 3 × 3 matrix, if the matrix is a singular matrix then which of the following statement is true;
Question 2
The value of is __________
Question 3
The value of(where C is the boundary of the region boundary by x = 0, y = 0 and x + y = 1) is …………………………
Question 4
The value of where ‘C’ is the left half of the unit circle in CCW direction
Question 5
Consider the following equations
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
Question 6
The Laplace transform ofis
Question 7
Let where then equals
Question 8
The directional derivative of at in the direction of line PQ, where , is _____.
Question 9
Let be such that det where I denotes the identity matrix. If the trace of and det then sum of squares of the eigen values of A is ____.
Question 10
The solution of following differential equation is
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Apr 17ESE & GATE EC